Similarity transformations and exact solutions of the (3+1)-dimensional nonlinear Schrödinger equation with spatiotemporally varying coefficients

被引：0
作者：
Zhang, Jingru [1 ]
Wang, Gangwei [1 ,2 ]
机构：
[1] Hebei Univ Econ & Business, Sch Math & Stat, Shijiazhuang 050061, Peoples R China
[2] Ctr Differential Equat & Their Applicat, Shijiazhuang 050061, Hebei, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2025年 / 159卷
关键词：
(3+1)-dimensional nonlinear Schr & ouml; dinger; equation; Similarity transformations; Exact solutions; SCHRODINGER-EQUATION; 1-SOLITON SOLUTION; SOLITONS;
D O I：
10.1016/j.aml.2024.109286
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, an extended (3+1)-dimensional nonlinear Schr & ouml;dinger equation is studied. By using similarity transformation, some exact solutions of this equation are obtained, which include soliton solutions and periodic function solutions, its nonlinear spatial modulation and external potential are affected by time and space. Based on the solution obtained previously, some figures are displayed.
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页数：7
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